{'ambient': '2400.bt', 'aut_centralizer_order': 16, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '40.12', 'aut_weyl_index': 480, 'centralizer': '300.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '40.c1.b1', '60.b1.a1', '60.j1.b1', '60.k1.b1', '60.l1.a1', '60.l1.a2', '60.m1.b1'], 'contains': ['240.b1.a1', '240.g1.b1', '600.c1.b1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [2534, -1, 4496, -1, 5198, -1, 6141, -1], 'generators': [140879192328, 1271171980, 27848544525], 'id': 171720126, 'label': '2400.bt.120.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.a1.a1', 'old_label': '120.h1.b1', 'projective_image': '1200.944', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}